MathsFreePrintable
Factoring Quadratics with Coefficients
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Factoring Quadratics with Coefficients
✏️ Part 1: Factorise the Quadratics
Factorise each quadratic fully. Show your working.
1. x² + 5x + 6 = 0
2. x² + 7x + 10 = 0
3. x² − x − 6 = 0
4. x² + 2x − 15 = 0
5. 2x² + 7x + 3 = 0
6. 2x² + 9x + 10 = 0
7. 3x² + 8x + 4 = 0
8. 3x² − 7x − 6 = 0
9. 4x² + 12x + 5 = 0
10. 5x² + 13x + 6 = 0
🔍 Part 2: Moderately Challenging Quadratics
Factorise each quadratic fully. Take care with negative terms.
11. 6x² + 11x + 3 = 0
12. 6x² − x − 2 = 0
13. 7x² + 19x + 10 = 0
14. 8x² − 2x − 3 = 0
15. 9x² − 21x + 10 = 0
16. 10x² + 11x − 6 = 0
17. 12x² − 11x − 5 = 0
18. 14x² − 9x − 5 = 0
19. 15x² + 2x − 8 = 0
20. 20x² − 23x + 6 = 0
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
